Answer:
Correct answer: C. -20
Step-by-step explanation:
If (x-3) is a polynomial factor it means that the polynomial value at point 3 is zero.
H(3) = 3 · 3³ - 2 · 3² + 3k - 3 = 0 ⇒ 81 - 18 + 3k - 3 = 0 ⇒ 3k + 60 = 0
3k = - 60 ⇒ k = - 60/ 3 = - 20
k = - 20
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